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| Richards P.I. — Manual of Mathematical Physics |
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| Предметный указатель |
 -centers 192
 -number (optics) 81
-number (optics), minimum value of 81
 -factor (Land ) 157
 erenkov radiation 72
Abacs 262—264
Abelian groups 454
Abel’s integral equation 379
Aberration, of lenses 81
Aberration, of light 115
Absolute reaction-rate theory 237
Absorption coefficients, electromagnetic 69 72 77
Absorption coefficients, quantum mechanical for radiation 139—144 179
absorption operator 178 184
Accelerations, relativistic transformation 111
Acceptor level (impurity) 192 246
Accommodation coefficient 190
Acoustic theory 21
Activated complex 238
Activation energy 237 240
Activation energy, enthalpy 238
Activation energy, entropy 238
Activation energy, free energy 238
Active electric circuits 90 94
Activity, activity-coefficients 49
Adiabatic equation 31
Adiabatic flow 26
Adjoint differential operator 368 415
Adjoint equation 368
Adjoint matrix 303
Adjoint operator 415
Admittance (of electric circuits) 92 225
Admittance (of electric circuits), matrix 93
Admittance (of electric circuits), matrix for vacuum tube 95
Admittance (of electric circuits), matrix, “floating” matrix 94
Admittance (of electric circuits), physical realizability of 98—100
Affine connection 441
Affine transformation 441
Age theory 376
Algebra 253—264
Algebra of matrices 303—312
Alloys, ordering in 216 241
Almost-periodic functions 285
Alpha decay 150
Ampere’s Law 62
Amplifiers, feedback in 95
Amplifiers, maser 103 140
Amplifiers, parametric 103
Amplifiers, stability of 97
Amplifiers, synthesis of 99
Analytic continuation 317
Analytic continuation, numerical 338
Analytic functions 315—321
Analytic functions, branch point of 318
Analytic functions, definition 315
Analytic functions, entire 282 320
Analytic functions, essential singularity of 318
Analytic functions, integral 282 320
Analytic functions, meromorphic 321
Analytic functions, pole of 317
Analytic functions, removable singularity of 318
Analytic functions, residue of, at a pole 318
Analytic functions, singularity of 316
Analytic functions, uniqueness of 100 317
Analytic functions, with positive real part in a half-plane 98—100 320
Analytic functions, zeros of 283 316 319
Analytic functions, “continuation” of 317
Angular momentum, conservation of 7 128
Angular momentum, in quantum mechanics 128 131 138
Angular momentum, in quantum mechanics, addition of 134
Angular momentum, in quantum mechanics, Dirac theory 172
Angular momentum, in quantum mechanics, matrix elements of 138
Angular velocity 7 293
Angular-distribution, connection with energy-distribution 146
Anisotropic media, electromagnetic properties 73—75 235—237
Anisotropy energy 220
Annihilation, (of positrons) 183
Annihilation, operator 178 184
Anomalous magnetic moment, electron 186
Anomalous magnetic moment, nucleon 174
Anomalous skin effect 77
Antenna, beam-sharpness limitation 70
Antenna, dipole 70
Antenna, radiation pattern of 71
Antenna, reception cross section 72
Anti particle 174
Anti-ferromagnetism 220
Anti-symmetric matrix 309
Anti-symmetric part of a matrix 309
Aperture, flow of gas through 189
Aplanatic lens 81
Area of a surface of revolution 267
Arg( ) 315
Asymmetric top (quantum) 165
Asymptotic series 282
Atomic configuration 159
atoms 155 161
Atoms, Hydrogen 155 173 186
Atoms, interaction with radiation 138—144 178
Atoms, mechanics of 159
Atoms, Thomas — Fermi model of 160
Attraction, virtual of Bose — Einstein molecules 204 206
Avogadro’s number 187 188
Axial vector 6 291 300 442
Axial vector, representation of a group 168
Babinet’s principle 82
Band head 155
Band spectra 155 166—168
Band, conduction 152
Band, electronic (in solids) 151 191
Band, imperfections and 192
Band, spectra (of molecules) 155 166—168
Band, spectra (of molecules), head of 155
Band, theory of solids 150—153 191—194 242-248
Band, valence 152
Bandwidth-limited signals 107
Barrier, penetration of 149
Barycentric velocity 58 228
Basis vectors 4 291
Basis vectors in general spaces 394 401 413
Basis vectors in non-orthogonal coordinates 150 298 438
Beam-width limitation, for antennas 70
Bernouli’s differential equation 342
Bernouli’s numbers 258
Bernouli’s theorem 26
Bessel differential equation 272 349
Bessel functions, series of 286
Bessel inequality 284 395
Bessel transforms 328—330
Beta decay 174 176
Bethe, theory of Ising model 219
Biaxial crystals 73
Bilateral Laplace transform 326—328
Bilateral Laplace transform, analytic properties of 327
Bilateral Laplace transform, approximate inversion of 331
Bilateral Laplace transform, inversion formula for 326
Bilateral Laplace transform, properties of 327
Bilateral Laplace transform, uniqueness of 327
Bimolecular chemical reaction 237 239
Binomial coefficients 258—260
Binomial theorem 258
Binormal vector 293
Biorthogonal (vectors, functions) 401
Biorthogonal (vectors, functions), algorithm for constructing 401
Biorthogonal (vectors, functions), matrix inversion by 308
Biot and Savart’s law 62
Birefringent media 73
Bits (unit of “information”) 106
Black-body radiation 40 179 202
Black-body radiation, Planck’s law for 179 203
| Bloch,  law (resistivity) 246
Bloch, spin-wave theory 220
Bloch, theorem (band-theory of solids) 151
Bloch, walls (ferromagnetism) 221
Bloch, wave function 151
Bode’s relations between attenuation and phase 100
Bode’s theorem 99
Bode’s transfer-admittance synthesis 99—100
Body-force 13
Boiling-point elevation 53
Boltzmann’s constant 187 197
Boltzmann’s distribution law 196 202
Boltzmann’s H-theorem 229
Boltzmann’s transport equation 227
Bond, chemical 130 161
Boolean algebra 262
Born approximation in scattering 146
Born approximation, Boolean algebra 262
Born approximation, general 420
Born — Oppenheimer theorem 162
Bose — Einstein condensation 204
Bose — Einstein condensation, particles 127
Bose — Einstein condensation, statistics 127 204
Bott — Duffin (electric circuit synthesis) 98
Boundary layer theory 23
Bragg — Williams theory 217
Branch point (of analytic functions) 318
Branches, acoustic and optical 216
Branches, of an analytic function 318
Branches, P, Q and R (band spectra) 155
Bremsstrahlung 182
Brewster’s angle 77
Bridgman’s equation 58
Brightness 83
Brillouin zone 151 243
Broadening of spectral lines 142—144
Brouwer’s fixed-point theorem 262
Brownian motion 225 431
Brune’s synthesis (electric impedances) 98
Brune’s theorem 98
Bulk modulus (compressibility) 18 37 191
Bulk viscosity 20 232 233
Burgers’ vector 194
Burnett equations 230
canonical ensemble 196
Capacitance, electric 85
Capacitance, estimation of 89
Capacity (information theory) 107—109
Carnot engine 33
Catalysis 192
Cauchy — Riemann equations 317
Cauchy, integral formula 317
Cauchy, principal value (of an integral) 269
Cayley — Hamilton theorem 311
Center-of-mass 6
Center-of-mass in quantum mechanics 153 158
Center-of-mass, scattering cross sections, conversion to 146
Central force problems (quantum) 153—158
Central limit theorem 426
Centrifugal stretching 164
Ces ro sums 409
Channel (communication) 106
Chaos, molecular 226 230
Character system, application in quantum mechanics 167
Character system, group theory 452
Characteristic polynomial (of a matrix) 311
Characteristic values and vectors see Eigenvalues and Eigenvectors
Characteristics (of a partial differential equation) 354 355 358
Characteristics (of a partial differential equation), Riemann’s method of 27 358
Charge, density 60 63
Charge, density, conventional vs “true” 63
Charge, renormalization 185
Charged particle 61
Charged particle, Lagrangian function for 11
Charged particle, motion in a magnetic field 11 128 236
Chebyscheff inequality 425
Chemical, binding 130 161
Chemical, constant 47
Chemical, kinetics 237
Chemical, potential 44
Chemical, potential, in statistical mechanics 198 204
Chemical, potential, of electrons in solids 205 243 247
Christoffel symbols (affine connection) 441
Circuit (electric) 83—104
Circuit (electric), analysis 91—97
Circuit (electric), fundamental equations of 88
Circuit (electric), Kirchhoff’s laws of 88
Circuit (electric), nonlinear 102—104
Circuit (electric), synthesis of 98—101
Circuit (electric), time-invariant 104
Circulation 23
Clairaut differential equation 342
Class (group theory) 451
Clausius — Mosotti equations 209
Clausius—Clapeyron equation 51
Clebsch — Gordon coefficients 137
Closure (under an operation) 394 450
Cluster integrals 212
Co-moving coordinates 13 25 114 118
Coding (of “information”) 106
Cofactor (of a determinant or matrix) 302
Cogredient (covariant) 438 443
Collision, broadening (of spectral lines) 143
Collision, invariants 229
Collision, theory (quantum) 144—149
COLOR 82
Combinatorial theorems 260
Communication theory 104—109
Commutator, of operators 130
Commuting matrices 401
Commuting observables (quantum) 136
Complete, integral ( -order partial differential equation) 355
Complete, set of functions 412
Complete, set of vectors 395
Complex frequencies 96
Complex, molecular 237
Complex-variable theory 315—321
Components (number of independent chemicals) 45
Compressibility, adiabatic 37 43
Compressibility, and other elastic constants 18 215
Compressibility, isothermal 37 215
Compressibility, of ionic crystals 191
Compressible flow 27
Compression waves 19
Compton scattering, elementary relations 129
Compton scattering, theory of 180
Concentration 45
Condensation, Bose — Einstein 204
Condensation, of real gases 41 213
Conduction band 152
Conductivity see Thermal or Electric
Configuration (of atomic electrons) 159
Confluent hypergeometric equation 349
Conformal mapping 318
Conformal mapping, applications of 365
Conjugate, hermitian 309
Conjugate, matrix 309
Conjugate, momenta 12 126
Conjugate, parameters (thermodynamic) 31
Connection, affine 441
Connectivity (topological) 261
Conservation, equation (mass) 13 228 372
Conservation, laws (quantum) 128
Conservative forces 4
Conservative forces, small vibrations under 11
Conservative forces, systems with 5
Constraining forces 5
Constraints, method of undetermined multipliers 5 390
Contact, potential 206
Contact, transformation (quantummechanics) 128
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